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3 years ago

Pls help me help me pls guys

Mathematics

1 answer:

aleksley [76]3 years ago

8 0

Answer:

Step-by-step explanation:

$-5x-49\geq 113$

$-5x\geq 162$

$x\leq -32.4$

(Multiplying or dividing by a negative flips the sign).

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Section 5.2 Problem 17:

Elina [12.6K]

This DE has characteristic equation

$4r^2 - 12r + 9r = (2r - 3)^2 = 0$

with a repeated root at r = 3/2. Then the characteristic solution is

$y_c = C_1 e^{\frac32 x} + C_2 x e^{\frac32 x}$

which has derivative

${y_c}' = \dfrac{3C_1}2 e^{\frac32 x} + \dfrac{3C_2}2 x e^{\frac32x} + C_2 e^{\frac32 x}$

Use the given initial conditions to solve for the constants:

$y(0) = 3 \implies 3 = C_1$

$y'(0) = \dfrac52 \implies \dfrac52 = \dfrac{3C_1}2 + C_2 \implies C_2 = -2$

and so the particular solution to the IVP is

$\boxed{y(x) = 3 e^{\frac32 x} - 2 x e^{\frac32 x}}$

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2 years ago

7) Which statement about perpendicular lines is true?

agasfer [191]

Answer:

is the a. Perpendicular lines form 90° angles.

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2 years ago

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3 years ago

If the public debt of the United States of Apex is 9,529,034,179,824,022 Apex dollars and its gross domestic product (GDP) is 16

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To compute for the debt-to-GDP ratio, we just have to divide the debt given in this item by the GDP and convert the quotient to percentage. That is,
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What is the length of EF in the triangle? Show your work. HELP!

Zinaida [17]

The length of EF in the given triangle is 8.80 m.

Step-by-step explanation:

Step 1:

In the given triangle, the opposite side's length is 16.2 m, the adjacent side's length is x m while the triangle's hypotenuse measures 16.2 m units.

The angle given is 90°, this makes the triangle a right-angled triangle.

So first we calculate the angle of E and use that to find x.

Step 2:

As we have the values of the length of the opposite side and the hypotenuse, we can calculate the sine of the angle to determine the value of the angle of E.

$sinE = \frac{oppositeside}{hypotenuse} =\frac{13.6}{16.2} = 0.8395.$